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Shape optimization and spectral theory. (English) Zbl 1369.49004

Berlin: De Gruyter (ISBN 978-3-11-055085-6/hbk; 978-3-11-055088-7/ebook). x, 464 p., open access (2017).

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The articles of this volume will be reviewed individually.
Indexed articles:
Henrot, Antoine, Introduction, 1-12 [Zbl 1370.49038]
Bucur, Dorin, Existence results, 13-28 [Zbl 1375.49052]
Lamboley, Jimmy; Pierre, Michel, Regularity of optimal spectral domains, 29-77 [Zbl 1375.49057]
Bucur, Dorin; Freitas, Pedro; Kennedy, James, The Robin problems, 78-119 [Zbl 1375.49053]
Girouard, Alexandre; Polterovich, Iosif, Spectral geometry of the Steklov problem, 120-148 [Zbl 1375.49056]
Laugesen, Richard S.; Siudeja, Bartłomiej A., Triangles and other special domains, 149-200 [Zbl 1376.49055]
Brasco, Lorenzo; De Philippis, Guido, Spectral inequalities in quantitative form, 201-281 [Zbl 1373.49051]
Ashbaugh, Mark S., Universal inequalities for the eigenvalues of the Dirichlet Laplacian, 282-324 [Zbl 1376.49053]
Buttazzo, Giuseppe; Velichkov, Bozhidar, Spectral optimization problems for Schrödinger operators, 325-352 [Zbl 1375.49054]
Bonnaillie-Noël, Virginie; Helffer, Bernard, Nodal and spectral minimal partitions – The state of the art in 2016, 353-397 [Zbl 1373.49050]
Antunes, Pedro R. S.; Oudet, Edouard, Numerical results for extremal problem for eigenvalues of the Laplacian, 398-412 [Zbl 1373.49049]

MSC:

49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control
49Q10 Optimization of shapes other than minimal surfaces
90C90 Applications of mathematical programming
57N25 Shapes (aspects of topological manifolds)
00B15 Collections of articles of miscellaneous specific interest
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